{"paper":{"title":"Hyperrigid generators in C*-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OA","authors_text":"P. Shankar","submitted_at":"2018-12-20T14:04:27Z","abstract_excerpt":"In this article, we show that, if $S\\in \\mathcal{B}(H)$ is irreducible and essential unitary, then $\\{S,SS^*\\}$ is a hyperrigid generator for the unital $C^*$-algebra $\\mathcal{T}$ generated by $\\{S,SS^*\\}$. We prove that, if $T$ is an operator in $\\mathcal{B}(H)$ that generates an unital $C^*$-algebra $\\mathcal{A}$ then $\\{T,T^*T,TT^*\\}$ is a hyperrigid generator for $\\mathcal{A}$. As a corollary it follows that, if $T\\in \\mathcal{B}(H)$ is normal then $\\{T,TT^*\\}$ is hyperrigid generator for the unital $C^*$-algebra generated by $T$ and if $T\\in \\mathcal{B}(H)$ is unitary then $\\{T\\}$ is hyp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.08574","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}